A limit relation for entropy and channel capacity per unit cost
Quantum Physics
2009-11-13 v1 Information Theory
math.IT
Abstract
In a quantum mechanical model, Diosi, Feldmann and Kosloff arrived at a conjecture stating that the limit of the entropy of certain mixtures is the relative entropy as system size goes to infinity. The conjecture is proven in this paper for density matrices. The first proof is analytic and uses the quantum law of large numbers. The second one clarifies the relation to channel capacity per unit cost for classical-quantum channels. Both proofs lead to generalization of the conjecture.
Keywords
Cite
@article{arxiv.0704.0046,
title = {A limit relation for entropy and channel capacity per unit cost},
author = {I. Csiszar and F. Hiai and D. Petz},
journal= {arXiv preprint arXiv:0704.0046},
year = {2009}
}
Comments
LATEX file, 11 pages